Low RPM, High Torque on dry cell batteries

Hello, Apologies I am not an engineer. I am hoping to find the approximate size of a system that rotates at a torque of 0.6nm but a rotation per minute of 1rpm. Ideally this would run off of dry cell batteries (e.g. 6xAA). Roughly how big would the gear system be to drop the RPM for this? How big would the motor be? Can you recommend any particular motor/gear system that would get the job done? Will dry cell batteries be sufficient? Any help at all in any of these questions would be greatly appreciated.
Thanks!